Mathematical methods of many-body quantum field theory. (2004)

• Record Type: Book
• Further Information: Note: Detlef Lehmann.
• Other Names: Lehmann, Detlef
• Contents: INTRODUCTION; SECOND QUANTIZATION; Coordinate and Momentum Space; The Many-Electron System; Annihilation and Creation Operators; PERTURBATION THEORY; The Perturbation Series for e(H0+lV); The Perturbation Series for the Partition Function; The Perturbation Series for the Correlation Functions; GAUSSIAN INTEGRATION AND GRASSMANN INTEGRALS; Why Grassmann Integration? A Motivating Example; Grassmann Integral Representations; Ordinary Gaussian Integrals; Theory of Grassmann Integration; BOSONIC FUNCTIONAL INTEGRAL REPRESENTATION; The Hubbard Stratonovich Transformation; The Effective Potential; BCS THEORY AND SPONTANEOUS SYMMETRY BREAKING; The Quadratic Mean Field Model; The Quartic BCS Model; BCS with Higher l-Wave Interaction; THE MANY-ELECTRON SYSTEM IN A MAGNETIC FIELD; Solution of the Single Body Problem; Diagonalization of the Fractional Quantum Hall Hamiltonian; FEYNMAN DIAGRAMS; The Typical Behavior of Field Theoretical Perturbation Series; Connected Diagrams and the Linked Cluster Theorem; Estimates on Feynman Diagrams; Ladder Diagrams; RENORMALIZATION GROUP METHODS; Integrating Out Scales; A Single Scale Bound on the Sum of all Diagrams; A Multiscale Bound on the Sum of Convergent Diagrams; Elimination of Divergent Diagrams; The Feldman-Knorrer-Trubowitz Fermi Liquid Construction; RESUMMATION OF PERTURBATION SERIES; Starting Point and Typical Examples; Computing Inverse Matrix Elements; The Averaged Greens Function of the Anderson Model; The Many-Electron System with Attractive Delta-Interaction; Application to Bosonic Models; General Structure of the Integral Equations; THE 'MANY-ELECTRON MILLENNIUM PROBLEMS'; ; ; REFERENCES`
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2004
• Extent: 1 online resource, illustrations
• Subjects: 530.14/3; Many-body problem; Quantum field theory -- Mathematical models; Many-body problem; Quantum field theory -- Mathematical models; Kwantumveldentheorie; Mathematisches Modell; Quantenfeldtheorie; Vielteilchentheorie
• Languages: English
• ISBNs: 9781482286052
• Related ISBNs: 148228605X
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.